The demand function is set as Qd = 60-5P The supply function is set as Qs = 15P – 40
The demand function is set as Qd = 60-5P The supply function is set as Qs = 15P – 40 Find the seller’s income, assuming a business tax of $ 2 is entered. for each unit sold.
To begin with, we find the equilibrium price, for this we equate the demand with the supply (Qd = Qs).
1) Qd = Qs.
60 – 5P = 15P – 40.
60 + 40 = 15P + 5P.
100 = 20P.
P = 5.
Next, we determine the equilibrium supply and demand in the market, substituting the resulting price:
2) Qd = 60 – 5 * 5 = 60 – 25 = 35.
Qs = 15 * 5 – 40 = 75 – 40 = 35.
So, we know that 35 units are produced on the market. goods. For each purchased product, a tax of 2 rdol is paid. Having found demand, we learned that consumers also buy 35 units. Find the tax amount:
3) 35 * 2 = 70 (dollars) – the total amount for all goods.
Next, we find how much the seller receives from the sale and calculate the profit.
4) 35 * 5 = 175 (dollars) – revenue (the price per unit is 5 dollars, found earlier).
5) 175 – 70 = 105 (dollars) -profit.